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Finding the Third Proportional to 443,571 and 688,119

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Solution

The third proportional to 443,571 and 688,119 is: 1,067,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,571 : 688,119 = 688,119 : x
  2. Step 2: Convert to fraction form
    443,571/688,119 = 688,119/x
  3. Step 3: Cross multiply
    443,571x = 688,119 × 688,119
  4. Step 4: Simplify right side
    443,571x = 473,507,758,161
  5. Step 5: Solve for x
    x = 473,507,758,161/443,571
  6. Step 6: Final answer
    x = 1,067,490.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.